Thorsten's Adagio uses a 20 ohm I/V resistor, a step-up transformer and a SRPP gain stage (E182CC).
The last published Thorsten's circuit has a 50 ohm I/V resistor, a choke loaded common cathode stage (ECC88), and no transformer.
The Lampizator uses a 100 ohm I/V resistor, a SRPP with a high gain tube (6N2P), and no transformer.

You could include in the list the good, and popular, "less simple I/V" from Rudolf Broertjies, as well as the Joko Homo's and Pedja Rogic's circuits.

I have tried all the above circuits and the best to me is the Adagio.
Regards.

The resistor can have bigger noise factor than an OpAmp input. DAC current output might not be loaded correctly by a resistor - OpAmps give zero impedance for an I/V stage.
Transformer has less bandwidth (lower end) than an OpAmp. And more, more distortion (hysteresis anyone?).

I dont know about that, I love iron as well, but you have to spend some serious money on output transformers to beat a good opamp circuit for IV. I generally prefer discrete SS and thats how I voted, it can measure right up there too, much better than trannies. I do like the simplicity of transformer output, but there is no denying the numbers are usually pretty bad and its not suitable for all dacs either IMO